Finite Group DatabasebetaFinite Group Databasebeta| order | 5344 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C167 ⋊ #101 |
38 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,167|a^2=d,b^2=e,d^2=e,b^a=bc,c^a=ce,f^a=f^166,d^b=de841 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5344, 65);